Question

a university would like to create a circular eating area with picnic tables. the eating area will have small plants that make a path to create individual sections that form sectors. the angle formed by the plants is 0=120 degrees, and the radius is r = 9m. find the area of each sector. a. 3(pi)m(squared) b. 6(pi)m(squared) c. 27(pi)m(squared) d. 54(pi)m(squared)

Answer 1

Answer
From the choices the answer is c. 27π m2

Explanation
The formula for calculating the area of a circle is;
Area = πr^2
Where π = 3.142
r = radius of the circle.
When a sector of the circle is involve area is a fraction of the whole circle and it is given by;
Area of a sector = θ/360 πr^2
Where ϴ = angle that makes the sector
So, area = 120/360 π9^2=27π